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Finding the Fourth Proportional to 381,076.61, 525,847.82 and 219,983.56

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Solution

The fourth proportional to 381,076.61, 525,847.82 and 219,983.56 is: 303,555.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,076.61 : 525,847.82 = 219,983.56 : x
  2. Step 2: Convert to fraction form
    381,076.61/525,847.82 = 219,983.56/x
  3. Step 3: Cross multiply
    381,076.61x = 525,847.82 × 219,983.56
  4. Step 4: Simplify right side
    381,076.61x = 115,677,876,011.80
  5. Step 5: Solve for x
    x = 115,677,876,011.80/381,076.61
  6. Step 6: Final answer
    x = 303,555.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.